Search a number
-
+
104999400 = 233252115303
BaseRepresentation
bin1100100001000…
…10100111101000
321022120112002200
412100202213220
5203334440100
614230300200
72413323462
oct620424750
9238515080
10104999400
11542a6670
122b1b7660
13189a422c
14dd33132
159340e00
hex64229e8

104999400 has 144 divisors (see below), whose sum is σ = 384752160. Its totient is φ = 25449600.

The previous prime is 104999383. The next prime is 104999471. The reversal of 104999400 is 4999401.

It is a super-2 number, since 2×1049994002 = 22049748000720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17149 + ... + 22451.

It is an arithmetic number, because the mean of its divisors is an integer number (2671890).

Almost surely, 2104999400 is an apocalyptic number.

104999400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104999400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192376080).

104999400 is an abundant number, since it is smaller than the sum of its proper divisors (279752760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104999400 is a wasteful number, since it uses less digits than its factorization.

104999400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 104999400 is about 10246.9214889156. The cubic root of 104999400 is about 471.7684994216.

Subtracting from 104999400 its reverse (4999401), we obtain a palindrome (99999999).

The spelling of 104999400 in words is "one hundred four million, nine hundred ninety-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 5303 6600 9900 10606 15909 19800 21212 26515 31818 42424 47727 53030 58333 63636 79545 95454 106060 116666 127272 132575 159090 174999 190908 212120 233332 238635 265150 291665 318180 349998 381816 397725 466664 477270 524997 530300 583330 636360 699996 795450 874995 954540 1049994 1060600 1166660 1193175 1399992 1458325 1590900 1749990 1909080 2099988 2333320 2386350 2624985 2916650 3181800 3499980 4199976 4374975 4772700 5249970 5833300 6999960 8749950 9545400 10499940 11666600 13124925 17499900 20999880 26249850 34999800 52499700 104999400